133000313300 has 144 divisors (see below), whose sum is σ = 309115215360. Its totient is φ = 49580375040.

The previous prime is 133000313267. The next prime is 133000313309. The reversal of 133000313300 is 3313000331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133000313309) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9943217 + ... + 9956583.

It is an arithmetic number, because the mean of its divisors is an integer number (2146633440).

Almost surely, 2^133000313300 is an apocalyptic number.

133000313300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133000313300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154557607680).

133000313300 is an abundant number, since it is smaller than the sum of its proper divisors (176114902060).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

133000313300 is a wasteful number, since it uses less digits than its factorization.

133000313300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13530 (or 13523 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 17.

Adding to 133000313300 its reverse (3313000331), we get a palindrome (136313313631).

The spelling of 133000313300 in words is "one hundred thirty-three billion, three hundred thirteen thousand, three hundred".